Final answer:
The gravitational attraction between two objects of 200 kg and 500 kg separated by 25 meters is calculated using Newton's Law of Universal Gravitation and is found to be approximately 1.067 × 10^-8 Newtons.
Step-by-step explanation:
To find the gravitational attraction between the two spherical objects with masses of 200 kg and 500 kg separated by 25 meters, we use Newton's Law of Universal Gravitation. The formula to calculate the gravitational force (F) is given by F = G * (m1 * m2) / r^2, where G is the gravitational constant (6.67 × 10^-11 Nm^2/kg^2), m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass. Plugging in the values, we get:
F = (6.67 × 10^-11) * (200 * 500) / (25^2)
F = (6.67 × 10^-11) * (100000) / (625)
F = (6.67 × 10^-11) * 160
The gravitational force between the two objects is, therefore, 1.067 × 10^-8 Newtons.